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Convexifactors, generalized convexity, and optimality conditions. (English) Zbl 1172.90500
The authors make use of the concept of convexificators which was introduced by V. Jeyakumar and D. T. Luc [J. Optimization Theory Appl. 101, No. 3, 599–621 (1999; Zbl 0956.90033)] to establish some characterizations of quasiconvex and pseudoconvex functions. They prove also a rule for calculating a convexificator of a max function, and derive optimality conditions for inequality constrained programming problems.

90C46 Optimality conditions and duality in mathematical programming
90C26 Nonconvex programming, global optimization
68Q25 Analysis of algorithms and problem complexity
Full Text: DOI
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